Moreira's Theorem on the arithmetic sum of dynamically defined Cantor sets

Loading...
Thumbnail Image

Date

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We present a complete proof of a theorem of C.G. Moreira. Under mild checkable conditions, the theorem asserts that the Hausdorff dimension of the arithmetic sum of two dynamically defined Cantor subsets of the real line, equals either the sum of the dimensions or 1, whichever is smaller.
15 pages. Expository notes, will not be submitted

Citation

Consulte el texto completo en el siguiente enlace:

Collections